Rút gọn các biểu thức sau:4
a,(x-2)^3-x(x-1)(x+1)+6x(x-3)
b,(2x-3y^2-5)^2-(3y^2-2x+5)^2
c,(a^2-1)(a^2+a+1)(a^2-a+1)
d,(a-2)(a-1)(a-1)(a+2)(a^2+1)(a^2+4)
e,(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)
f,1^2-2^2+3^2-4^2+...+2015^2-2016^2
a, 2.x.(x-1)^2-3.x.(x+3).(x-3)-4.x.(x+1)^2
b,(a-b+c)^2-(b-c)^2+2.a.b-2.a.c
c,(3.x+1)^2-2.(1+3.x).(3.x+5)+(3.x+5)^2
d, (3+1).(3^2+1).(3^4+1).(3^8+1).(3^16+1).(3^32+1)
e, (a+b-c)^2+(a-b+c)^2+(b-c-a)^2+(c-a-b)^2
1. Tìm x:
a. 2x.(2x-1)^2 - 3x.(x+3).(x-3) - 4x.(x+1)^2 - x^3 = x^3 - 16.x^2 + 1
b. x.(x-2)^2 + 3x.(2x-1)^2 - 13.x^2 + 16.x^2 = 5x+2
2. Tính nhanh
a. 127^2 + 146 x 127 + 73^2
b. 9^8 x 2^8 - ( 18^4 - 1 ) x ( 18^4 + 1 )
help pls
Rút gọn 1) (x-2)^2 - (x+1) (x-1)
2)(3x-2) (3x+2)-(3x+1)^2
3)(x-8) (x+8)-(x+3)^2
4) (2x+y)^2 -2(4x^2-y^2)+(2x-y)^2
Bài 2 tìm x
a) (x+3)^2 - (x-2) (x+2)=8
b) (x-5)^2 - 9 =0
Bài 3 so sánh
A=(2+1) (2^2+1) (2^4+1) (2^8+1) và B = 2^16 .
Thực hiện phép tính
a) \(^{\dfrac{x^2+2}{x^3-1}}\) +\(\dfrac{2}{x^2+x+1}\) +\(\dfrac{1}{1-x}\)
b) \(\dfrac{1}{x+2}\) +\(\dfrac{3}{x^2-4}\) +\(\dfrac{x-14}{\left(x^2+4x+4\right)\left(x-2\right)}\)
c)\(\dfrac{1}{x-y}\) -\(\dfrac{3xy}{x^3-y^3}\) +\(\dfrac{x-y}{x^2+xy+y^2}\)
d) \(\dfrac{1}{a-b}\) +\(\dfrac{1}{a+b}\) +\(\dfrac{2a}{a^2+b^2}\) +\(\dfrac{4a^3}{a^4+b^4}\)
e) \(\dfrac{1}{a^2-a}\) + \(\dfrac{1}{a^2-3a+2}\) +\(\dfrac{1}{a^2-5a+6}\) +\(\dfrac{1}{a^2-7a+12}\)
Bài 1:Thực hiện phép tính
a,(5-2x)(x+3)-4x(x+2) b,(3x+1)(x-3)-4(x+2)(x-2)
c,3(x-4)(x+3)+(x-5)(x+3) d,2x(x-4)+(3x-1)(2x-5)
Bài 2:Tìm x biết
a,5x(x+3)-(5x+2)(x+3)=7
b,(3x-1)(3x+2)-9(x+2)(x-2)=10
c,(x+1)(2x-5)+2(3-x)(x+2)=7
d,(1-3x)(x+2)+3x(x-5)=8
Rút gọn biểu thức:
a) (6x + 1)^2 + (6x-1)^2 - 2(1+6x)(6x-1)
b) 3(2^2 +1) (2^4 +1) (2^8 +1)(2^16 +1)
c) x(2x^2 - 3) -x^2 (5x +1) +x^2
d) 3x(x-2) - 5x(1-x) - 8(x^2 - 3)
Rút gọn phân thức
a) (6x+1)^2 + (6x-1)^2 - 2(1+6x).(6x-1)
b) x(2x^2 - 3) - x^2(5x+1) + x^2
c) 3(2^2+1).(2^4+1).(2^8+1).(2^16+1)
d) 3x(x - 2) - 5x(1 - x) - 8(x^2 - 3)
rút gọn biểu thức
a.(6x+1)^2-(6x-1)-2(1+6x)(6x-1)
b . x(2x^2-3) -x^2(5x+1)+x^2
c.3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
d.3x(x-2)-5x(1-x-8)(x^2-3)